Equation For Numerical Modeling Of Wave Transformation In Shallow Water

1999 ◽  
pp. 101-162 ◽  
Author(s):  
Masahiko Isobe
Keyword(s):  
Numerical Modeling ◽  
Shallow Water ◽  
Wave Transformation

Wave transformation by a dredge excavation pit for waves from shallow water to deep water

2014 ◽  
Vol 76 ◽  
pp. 136-143 ◽  
Author(s):  
Bo Liao ◽  
Dun-Qian Cao ◽  
Huan-Wen Liu
Keyword(s):  
Shallow Water ◽  
Deep Water ◽  
Wave Transformation

scholarly journals Calculation model of random wave transformation in shallow water.

1986 ◽  
pp. 221-230 ◽  
Author(s):  
Hajime MASE ◽  
Akio MATSUMOTO ◽  
Yuichi IWAGAKI
Keyword(s):  
Shallow Water ◽  
Calculation Model ◽  
Wave Transformation ◽  
Random Wave

scholarly journals Novel Exact Solutions of the Extended Shallow Water Wave and the Fokas Equations

2018 ◽  
Vol 22 ◽  
pp. 01022
Author(s):  
Serbay DURAN ◽  
Berat KARAAGAC ◽  
Alaattin ESEN
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Exact Solutions ◽  
Shallow Water ◽  
Water Wave ◽  
Expansion Method ◽  
Travelling Wave ◽  
Wave Transformation ◽  
Partial Differential ◽  
Shallow Water Wave

In this study, a Sine-Gordon expansion method for obtaining novel exact solutions of extended shallow water wave equation and Fokas equation is presented. All of the equations which are under consideration consist of three or four variable. In this method, first of all, partial differential equations are reduced to ordinary differential equations by the help of variable change called as travelling wave transformation, then Sine Gordon expansion method allows us to obtain new exact solutions defined as in terms of hyperbolic trig functions of considered equations. The newly obtained results showed that the method is successful and applicable and can be extended to a wide class of nonlinear partial differential equations.

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